Reputation will not be made account-wide, no, but we will be easing a couple of linked features with 7.1.
First, Court of Stars
and The Arcway
will now unlock account-wide once each individual dungeon is completed once on an account.
Second, World Quests will no longer have the "friendly" reputation unlock requirement for secondary/alt characters. Once you hit 110 on an alt, you will immediately receive a quest to speak with Khadgar to receive your 飞行管理员的哨子
and unlock World Quests, as long as you've already unlocked World Quests on your main.
Hope this answers your concerns! :)